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Can someone please help me solve this problem .11,13

Can someone please help me solve this problem .11,13

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can someone please help me solve this problem .11,13
In Problems 1-24 determine whether the given equation is exact. If it is exact, solve. 1. (2x - 1)dx + (3y + 7)dy = 0 3. (5x + 4y) dx + (4x - 8y³) dy = 0 4. (siny - y sin x) dx + (cos x + x cos y - y) dy = 0 5. (2y²x - 3) dx + (2yx² + 4)dy = 0 (2y - 1+cos3x 6. 8. + ln x + X 7. (x + y)(x - y) dx + x(x - 2y)dy = 0 (1 + 2-) dx = dx = (1 - ln x) dy X (11.) (y In y - ex) dx + 9. (y³ - y²sinx - x) dx + (3xy² + 2y cosx)dy = 0 10. (x³ + y³) dx + 3xy²dy = 0 2x 12 dx-dy-0 y dy (13.) x = dx dy y + dx x² = 17. x²y³ - 2. (2x + y) dx - (x + 6y)dy = 0 + ( + x In y)dy = - - 4x³ + 3y sin 3x = 0 2xe* - y + 6x² 14. (3x²y + e') dx + (x³ + xe - 2y) dy = 0 3 (15.) B3(1-² + y)dx + (1 - 2 + x)dy = 0 y dy ln 0 16. (e' + 2xy cosh x)y' + xy² sinh x + y² cosh x = 0 1 dx 1 + 9x² + x³y² = 0 by bol f COS 37 ws that
Transcribed Image Text:In Problems 1-24 determine whether the given equation is exact. If it is exact, solve. 1. (2x - 1)dx + (3y + 7)dy = 0 3. (5x + 4y) dx + (4x - 8y³) dy = 0 4. (siny - y sin x) dx + (cos x + x cos y - y) dy = 0 5. (2y²x - 3) dx + (2yx² + 4)dy = 0 (2y - 1+cos3x 6. 8. + ln x + X 7. (x + y)(x - y) dx + x(x - 2y)dy = 0 (1 + 2-) dx = dx = (1 - ln x) dy X (11.) (y In y - ex) dx + 9. (y³ - y²sinx - x) dx + (3xy² + 2y cosx)dy = 0 10. (x³ + y³) dx + 3xy²dy = 0 2x 12 dx-dy-0 y dy (13.) x = dx dy y + dx x² = 17. x²y³ - 2. (2x + y) dx - (x + 6y)dy = 0 + ( + x In y)dy = - - 4x³ + 3y sin 3x = 0 2xe* - y + 6x² 14. (3x²y + e') dx + (x³ + xe - 2y) dy = 0 3 (15.) B3(1-² + y)dx + (1 - 2 + x)dy = 0 y dy ln 0 16. (e' + 2xy cosh x)y' + xy² sinh x + y² cosh x = 0 1 dx 1 + 9x² + x³y² = 0 by bol f COS 37 ws that
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